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Finding the Fourth Proportional to 24,457.04, 33,753.70 and 14,385

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Solution

The fourth proportional to 24,457.04, 33,753.70 and 14,385 is: 19,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.04 : 33,753.70 = 14,385 : x
  2. Step 2: Convert to fraction form
    24,457.04/33,753.70 = 14,385/x
  3. Step 3: Cross multiply
    24,457.04x = 33,753.70 × 14,385
  4. Step 4: Simplify right side
    24,457.04x = 485,546,974.50
  5. Step 5: Solve for x
    x = 485,546,974.50/24,457.04
  6. Step 6: Final answer
    x = 19,853.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.